Theory and Applications of Computer-Intensive Statistical Methods

The availability of powerful computing equipment has had a dramatic impact on statistical methods and thinking. It has motivated development of novel approaches to data analysis, whose conception and appreciation, even their application, often demand sophisticated and complex theoretical methods. The new techniques involve minimal structural assumptions and use the data in highly adaptive ways. They have enabled new types of problems to be solved. In this context, the project will develop new methods for finding structure in complex datasets, for handling high- and infinite-dimensional data, and more generally for solving non-standard statistical problems.